19 citations · 74 across the 11 of their papers we have counts for
Showing 2015 · math-phShow all
3 papers · 2 filters
math-ph2015★ 3 cited
Fractality and Lapidus zeta functions at infinity
Goran Radunović
We study fractality of unbounded sets of finite Lebesgue measure at infinity by introducing the notions of Minkowski dimension and content at infinity. We also introduce the Lapidu…
math-ph2015★ 9 cited
Complex dimensions of fractals and meromorphic extensions of fractal zeta functions
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
We study meromorphic extensions of distance and tube zeta functions, as well as of geometric zeta functions of fractal strings. The distance zeta function $ζ_A(s):=\int_{A_δ} d(x,A…
math-ph2015★ 19 cited
Distance and tube zeta functions of fractals and arbitrary compact sets
Michel L. Lapidus, Goran Radunović, Darko Žubrinić
Recently, the first author has extended the definition of the zeta function associated with fractal strings to arbitrary bounded subsets of the -dimensional Euclidean space…